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Finding the Fourth Proportional to 9,229.01, 13,834.98 and 3,681

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Solution

The fourth proportional to 9,229.01, 13,834.98 and 3,681 is: 5,518.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,229.01 : 13,834.98 = 3,681 : x
  2. Step 2: Convert to fraction form
    9,229.01/13,834.98 = 3,681/x
  3. Step 3: Cross multiply
    9,229.01x = 13,834.98 × 3,681
  4. Step 4: Simplify right side
    9,229.01x = 50,926,561.38
  5. Step 5: Solve for x
    x = 50,926,561.38/9,229.01
  6. Step 6: Final answer
    x = 5,518.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.